# Supplementary mathematics

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SUPPLEMENTARY MATHEMATICS

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## Definition

Definition

This book is a guide for those interested in mathematics, which presents an advanced and complementary type of mathematics. In this book, we discuss advanced topics such as calculations, analysis, geometry, etc., and general topics such as the branches of mathematics. This book is different from basic math, basic math teaches basic concepts and teaches math in simple language. The concept of advanced mathematics means to present complex and advanced concepts, it means that extensive concepts are also included with them. This ebook will help you with advanced and extensive and important

concepts of mathematics.

## Introduction

1. Introduction

## Calculus

### trigonometries

1. Trigonometry
2. Trigonometric functions
3. Spherical Trigonometry
4. Exact trigonometric values
5. Euler's formula
6. Generalized Trigonometry
7. Goniometric function
8. Harty core
9. Greninger diagram
10. List of trigonometric identities
11. Trigonometric integral
12. trigonometric derivative
13. trigonometric rules
14. trigonometric polynomial
15. Formula of half angle of tangent
16. Matrix trigonometric functions
17. Trigonometric tables
18. Unit circle

1. derivative

## Mathematical principles

2. Bloch's principle
3. Cavalieri's principle
4. Clubsuit
5. Combinatorial principles
6. Contraction principle (large deviations theory)
7. Courant minimax principle
8. Diamond principle
9. Dirichlet's principle
10. Duhamel's principle
11. Harnack's principle
12. Hasse principle
13. Hausdorff maximal principle
14. Homotopy principle
15. Hopf lemma
16. Hopf maximum principle
17. Hume's principle
18. Inclusion–exclusion principle
19. Incompressibility method
20. Laplace principle (large deviations theory)
21. Littlewood's three principles of #real analysis
22. Markov's principle
23. Maupertuis's principle
24. Principle of maximum caliber
25. Principle of maximum entropy
26. Maximum modulus principle
27. Maximum principle
28. Method of distinguished element
29. Order-extension principle
30. Phragmén–Lindelöf principle
31. Pigeonhole principle
32. Racetrack principle
33. Reflection principle
34. Rule of product
35. Schwarz reflection principle
36. Splitting principle
37. Square–cube law
38. Tilted large deviation principle
39. Transfer principle
40. Uniform boundedness principle
41. Vopěnka's principle
42. Well-ordering principle